Chapter 1: Numbers system

Q1. Which of the following is not equal to  ?

(A)      (B)        (C)          (D)      

Answer :  (A)    

 [ We  have,   ]

Q2. Every rational number is :

(A) a natural number      (B) an integer     (C) a real number    (D) a whole number

Answer : (C) a real number    .

Q3.  Between two rational numbers :

(A) there is no rational number

(B) there is exactly one rational number

(C) there are infinitely many rational numbers

(D) There are only rational numbers and no irrational numbers

Answer : (C) there are infinitely many rational numbers .

Q4. Decimal representation of a rational number cannot be :

(A) terminating     (B) non-terminating    (C) non-terminating repeating    (D) non-terminating  and non-repeating

Answer: (D) non-terminating  and non-repeating .

Q5. The product of any two irrational numbers is :

(A) always an irrational number   (B) always a rational number   (C) always an integer   (D) sometime rational , sometimes irrational

Answer: (D) sometime rational , sometimes irrational .

[  is a rational number and  is an irrational number]

Q6. The decimal expansion of the number  is :

(A) a finite decimal      (B) 1.41421    (C) non-terminating recurring   (D) non-terminating and non-recurring

Answer: (D) non-terminating and non-recurring .

Q7. Which of the following irrational number ?

(A)            (B)         (C)       (D) 

Answer:  (C)       .